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Finding the Fourth Proportional to 99,967.28, 137,945.32 and 54,642.40

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Solution

The fourth proportional to 99,967.28, 137,945.32 and 54,642.40 is: 75,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,967.28 : 137,945.32 = 54,642.40 : x
  2. Step 2: Convert to fraction form
    99,967.28/137,945.32 = 54,642.40/x
  3. Step 3: Cross multiply
    99,967.28x = 137,945.32 × 54,642.40
  4. Step 4: Simplify right side
    99,967.28x = 7,537,663,353.57
  5. Step 5: Solve for x
    x = 7,537,663,353.57/99,967.28
  6. Step 6: Final answer
    x = 75,401.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.